Stability analysis of magnetization in a perpendicular magnetic layer driven by spin Hall effect

doi:10.1088/1674-1056/acb204

中国物理B ›› 2023, Vol. 32 ›› Issue (5): 57503-057503.doi: 10.1088/1674-1056/acb204

Stability analysis of magnetization in a perpendicular magnetic layer driven by spin Hall effect

Zai-Dong Li(李再东)^1,2,†, Xin-Xin Zhao(赵欣欣)¹, and Tian-Fu Xu(徐天赋)³

1 Tianjin Key Laboratory of Quantum Optics and Intelligent Photonics, School of Science, Tianjin University of Technology, Tianjin 300384, China;
2 Department of Applied Physics and School of Information Engineering, Hebei University of Technology, Tianjin 300401, China;
3 College of Science, Yanshan University, Qinhuangdao 066004, China

收稿日期:2022-10-17 修回日期:2022-12-10 接受日期:2023-01-11 出版日期:2023-04-21 发布日期:2023-05-05
通讯作者: Zai-Dong Li E-mail:lizd@email.tjut.edu.cn
基金资助:
Project supported by the Program of State Key Laboratory of Quantum Optics and Quantum Optics Devices of Shanxi University of China (Grant No. KF202203).

Stability analysis of magnetization in a perpendicular magnetic layer driven by spin Hall effect

Zai-Dong Li(李再东)^1,2,†, Xin-Xin Zhao(赵欣欣)¹, and Tian-Fu Xu(徐天赋)³

1 Tianjin Key Laboratory of Quantum Optics and Intelligent Photonics, School of Science, Tianjin University of Technology, Tianjin 300384, China;
2 Department of Applied Physics and School of Information Engineering, Hebei University of Technology, Tianjin 300401, China;
3 College of Science, Yanshan University, Qinhuangdao 066004, China

Received:2022-10-17 Revised:2022-12-10 Accepted:2023-01-11 Online:2023-04-21 Published:2023-05-05
Contact: Zai-Dong Li E-mail:lizd@email.tjut.edu.cn
Supported by:
Project supported by the Program of State Key Laboratory of Quantum Optics and Quantum Optics Devices of Shanxi University of China (Grant No. KF202203).

摘要/Abstract

摘要： We investigate the stability of magnetization in free layer where the spin torque is induced by the spin Hall effect. In terms of the Landau-Liftshitz-Gilbert equation, we find the low-energy and high-energy equilibrium states, as well as the saddle points. The stability region is defined in the phase diagram spanned by the current density and the spin Hall angle. The spin Hall effect makes the previous saddle point into a stable state above a critical current. However, in the presence of magnetic field, the spin Hall effect leads to the opposite changes in the stable regions of the two low-energy states.

关键词: stability, spin Hall effect, equilibrium states

Abstract: We investigate the stability of magnetization in free layer where the spin torque is induced by the spin Hall effect. In terms of the Landau-Liftshitz-Gilbert equation, we find the low-energy and high-energy equilibrium states, as well as the saddle points. The stability region is defined in the phase diagram spanned by the current density and the spin Hall angle. The spin Hall effect makes the previous saddle point into a stable state above a critical current. However, in the presence of magnetic field, the spin Hall effect leads to the opposite changes in the stable regions of the two low-energy states.

Key words: stability, spin Hall effect, equilibrium states

中图分类号: (Magnetization dynamics)

75.78.-n

75.40.Gb (Dynamic properties?) 72.25.Ba (Spin polarized transport in metals)

Zai-Dong Li(李再东), Xin-Xin Zhao(赵欣欣), and Tian-Fu Xu(徐天赋). Stability analysis of magnetization in a perpendicular magnetic layer driven by spin Hall effect[J]. 中国物理B, 2023, 32(5): 57503-057503.

Zai-Dong Li(李再东), Xin-Xin Zhao(赵欣欣), and Tian-Fu Xu(徐天赋). Stability analysis of magnetization in a perpendicular magnetic layer driven by spin Hall effect[J]. Chin. Phys. B, 2023, 32(5): 57503-057503.

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Stability analysis of magnetization in a perpendicular magnetic layer driven by spin Hall effect

Stability analysis of magnetization in a perpendicular magnetic layer driven by spin Hall effect

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